Timothy Warburton

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Jan S HesthavenProfessor of Mathematics and Provost, Ecole Polytechnique Federale de Lausanne (EPFL)Verified email at epfl.ch
Jesse ChanRice UniversityVerified email at rice.edu
Francis Xavier GiraldoDistinguished Professor of Applied Mathematics, Naval Postgraduate SchoolVerified email at nps.edu
Ali BeskokSouthern Methodist UniversityVerified email at smu.edu
George Em KarniadakisThe Charles Pitts Robinson and John Palmer Barstow Professor of Applied Mathematics and EngineeringVerified email at brown.edu
Thomas HagstromProfessor of Mathematics, Southern Methodist UniversityVerified email at smu.edu
Andreas KlöcknerUniversity of Illinois at Urbana-ChampaignVerified email at illinois.edu
Lucas C. WilcoxAssociate Professor of Applied Mathematics, Naval Postgraduate SchoolVerified email at nps.edu
Axel ModaveCNRS Researcher @ POEMS Team (CNRS, INRIA, ENSTA Paris)Verified email at ensta-paris.fr
Markus ClemensChair of Electromagnetic Theory, University of WuppertalVerified email at uni-wuppertal.de
Ali KarakusMechanical Engineering Department, Middle East Technical UniversityVerified email at metu.edu.tr
Prof. Prashanta DuttaMechanical Engineering, Washington State UniversityVerified email at wsu.edu
Amik St-CyrRoyal Dutch ShellVerified email at shell.com
Noel ChalmersAMD ResearchVerified email at amd.com
Spencer J. SherwinProfessor of Computational Fluid Mechanics, Imperial College LondonVerified email at imperial.ac.uk
Robert M. Kirby OR R.M. KirbySchool of Computing, University of UtahVerified email at cs.utah.edu
Katarzyna (Kasia) SwirydowiczPacific Northwest National LaboratoryVerified email at pnnl.gov
Abdi DanielCIRES/NOAAVerified email at noaa.gov
Tzanio KolevLawrence Livermore National LaboratoryVerified email at llnl.gov
Paul FischerProfessor, Depts. of Computer Science and Mechanical Science & Engineering, University of IllinoisVerified email at mcs.anl.gov

Timothy Warburton

John K. Costain Faculty Chair, Virginia Polytechnic Institute and State University

Verified email at vt.edu - Homepage

Discontinuous Galerkin Methods Computational Electromagnetics High-performance computing Seismic imaging VT Math


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Nodal discontinuous Galerkin methods: algorithms, analysis, and applications JS Hesthaven, T Warburton Springer-Verlag New York Inc, 2008	2804	2008
Nodal High-Order Methods on Unstructured Grids:: I. Time-Domain Solution of Maxwell's Equations JS Hesthaven, T Warburton Journal of Computational Physics 181 (1), 186-221, 2002	845	2002
Nodal discontinuous Galerkin methods on graphics processors A Klockner, T Warburton, J Bridge, JS Hesthaven Journal of Computational Physics 228 (21), 7863-7882, 2009	358	2009
Nodal high-order discontinuous Galerkin methods for the spherical shallow water equations FX Giraldo, JS Hesthaven, T Warburton Journal of Computational Physics 181 (2), 499-525, 2002	289	2002
On the constants in hp-finite element trace inverse inequalities T Warburton, JS Hesthaven Computer methods in applied mechanics and engineering 192 (25), 2765-2773, 2003	258	2003
A new auxiliary variable formulation of high-order local radiation boundary conditions: corner compatibility conditions and extensions to first-order systems T Hagstrom, T Warburton Wave Motion 39 (4), 327-338, 2004	200	2004
An explicit construction of interpolation nodes on the simplex T Warburton Journal of engineering mathematics 56 (3), 247-262, 2006	194	2006
High–order nodal discontinuous Galerkin methods for the Maxwell eigenvalue problem JS Hesthaven, T Warburton Philosophical Transactions of the Royal Society of London. Series A …, 2004	161	2004
A discontinuous Galerkin method for the viscous MHD equations TC Warburton, GE Karniadakis Journal of computational Physics 152 (2), 608-641, 1999	152	1999
Electroosmotic flow control in complex microgeometries P Dutta, A Beskok, TC Warburton Journal of Microelectromechanical Systems 11 (1), 36-44, 2002	137	2002
Numerical simulation of mixed electroosmotic/pressure driven microflows P Dutta, A Beskok, TC Warburton Numerical Heat Transfer: Part A: Applications 41 (2), 131-148, 2002	131	2002
Extreme-scale AMR C Burstedde, O Ghattas, M Gurnis, T Isaac, G Stadler, T Warburton, ... Proceedings of the 2010 ACM/IEEE International Conference for High …, 2010	121	2010
Viscous Shock Capturing in a Time-Explicit Discontinuous Galerkin Method A Klöckner, T Warburton, JS Hesthaven Mathematical Modelling of Natural Phenomena 6 (03), 57-83, 2011	109	2011
Spectral/hp methods on polymorphic multidomains: Algorithms and applications T Warburton	99*	1999
A high‐order triangular discontinuous Galerkin oceanic shallow water model FX Giraldo, T Warburton International journal for numerical methods in fluids 56 (7), 899-925, 2008	93	2008
A nodal triangle-based spectral element method for the shallow water equations on the sphere FX Giraldo, T Warburton Journal of Computational Physics 207 (1), 129-150, 2005	90	2005
GPU accelerated Adams–Bashforth multirate discontinuous Galerkin FEM simulation of high-frequency electromagnetic fields N Gödel, S Schomann, T Warburton, M Clemens IEEE Transactions on magnetics 46 (8), 2735-2738, 2010	79	2010
Complete radiation boundary conditions: minimizing the long time error growth of local methods T Hagstrom, T Warburton submitted for publication, 2009	79	2009
OCCA: A unified approach to multi-threading languages DS Medina, A St-Cyr, T Warburton arXiv preprint arXiv:1403.0968, 2014	77	2014
The role of the penalty in the local discontinuous Galerkin method for Maxwell's eigenvalue problem T Warburton, M Embree Computer methods in applied mechanics and engineering 195 (25-28), 3205-3223, 2006	76	2006

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